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Finding the Fourth Proportional to 2,740.84, 3,781.20 and 1,679.02

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Solution

The fourth proportional to 2,740.84, 3,781.20 and 1,679.02 is: 2,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.84 : 3,781.20 = 1,679.02 : x
  2. Step 2: Convert to fraction form
    2,740.84/3,781.20 = 1,679.02/x
  3. Step 3: Cross multiply
    2,740.84x = 3,781.20 × 1,679.02
  4. Step 4: Simplify right side
    2,740.84x = 6,348,710.42
  5. Step 5: Solve for x
    x = 6,348,710.42/2,740.84
  6. Step 6: Final answer
    x = 2,316.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.